John Wiley & Sons Australia, Ltd

Chapter 1 Linear functions Test SECTION C

What are the three possible equations for the

lines that could pass through two of the threepoints A (2, 6), B (2, 1) and C (3, 3)?

Extended response Technology-enabled

6

The Red Phone Company charges $50 monthly

rent plus $0.25 per phone call, whereas theBlack Phone Company charges $20 monthlyrent plus $0.30 per phone call.(a) Write a general equation to represent thecharge of each company (let p representphone calls).(b) What will each company charge for400 phone calls made in a month?

(c) If a kindergarten has a phone budget of

$80 for a month, how many phone callscould the kindergarten staff make witheach company?

(d) Use simultaneous equations to calculate

the number of phone calls that wouldneed to be made for the two companies tocharge the same fee. What is this fee?

(e) What other considerations would be made

before choosing a company?

Expand the brackets:

5(3 x 2)

10

Factorise:

27 x 75 y z2

11

Factorise:

( 2 x 3) 2 7

12

Factorise:

x 3x 12

13

Factorise and solve for x:

6 x2 5x 4 0

14

Factorise and solve for x:

6x x 62

15

Convert the following quadratic into turning

point form to determine the coordinates of theturning point.y x 2 4x 7